The Pentagram and Mercedes Boards

Two Peterson Graph Boards

These Game boards come to me courtesy of Walter Logeman and Miles Thompson, two friends from the Psybernet project. They are based on Peterson Graphs, and have the interesting property (assuming my numerical calculations are correct) that moves played on one board can be read on the other, and that all the links will still be to the correct positions on the second board.

Although they are topologically related, the two boards obviously have different symmetries, and games in which one player plays on each board should be of particular interest...

The Pentagram Board

The Mercedes Board

Game by Charles Cameron <hipbone@earthlink.net>
Boards courtesy of Walter Logeman and Miles Thompson